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🔗 Metalworking 🔗 Materials

Low-background steel is any steel produced prior to the detonation of the first nuclear bombs in the 1940s and 1950s. With the Trinity test and the nuclear bombings of Hiroshima and Nagasaki in 1945, and then subsequent nuclear weapons testing during the early years of the Cold War, background radiation levels increased across the world. Modern steel is contaminated with radionuclides because its production uses atmospheric air. Low-background steel is so-called because it does not suffer from such nuclear contamination. This steel is used in devices that require the highest sensitivity for detecting radionuclides.

The primary source of low-background steel is ships that were constructed before the Trinity test, most famously the scuttled German World War I warships in Scapa Flow.

🔗 Mathematics 🔗 Germany 🔗 Military history 🔗 Statistics 🔗 Military history/Intelligence 🔗 Military history/World War II 🔗 Military history/German military history 🔗 Military history/European military history

In the statistical theory of estimation, the German tank problem consists of estimating the maximum of a discrete uniform distribution from sampling without replacement. In simple terms, suppose we have an unknown number of items which are sequentially numbered from 1 to N. We take a random sample of these items and observe their sequence numbers; the problem is to estimate N from these observed numbers.

The problem can be approached using either frequentist inference or Bayesian inference, leading to different results. Estimating the population maximum based on a single sample yields divergent results, whereas estimation based on multiple samples is a practical estimation question whose answer is simple (especially in the frequentist setting) but not obvious (especially in the Bayesian setting).

The problem is named after its historical application by Allied forces in World War II to the estimation of the monthly rate of German tank production from very few data. This exploited the manufacturing practice of assigning and attaching ascending sequences of serial numbers to tank components (chassis, gearbox, engine, wheels), with some of the tanks eventually being captured in battle by Allied forces.

🔗 Technology 🔗 Business 🔗 Electronics 🔗 Energy 🔗 Home Living

The Phoebus cartel existed to control the manufacture and sale of incandescent light bulbs. They appropriated market territories and fixed the useful life of such bulbs. Corporations based in Europe and America founded the cartel on January 15, 1925 in Geneva. They had intended the cartel to last for thirty years (1925 to 1955). The cartel ceased operations in 1939 owing to the outbreak of World War II. The cartel included manufacturers Osram, General Electric, Associated Electrical Industries, and Philips, among others.

The Phoebus cartel created a notable landmark in the history of the global economy because it engaged in large-scale planned obsolescence to generate repeated sales and maximize profit. It also reduced competition in the light bulb industry for almost fifteen years. Critics accused the cartel of preventing technological advances that would produce longer-lasting light bulbs. Phoebus based itself in Switzerland. The corporation named itself Phœbus S.A. Compagnie Industrielle pour le Développement de l'Éclairage (French for "Phoebus, Inc. Industrial Company for the Development of Lighting").

🔗 Mathematics 🔗 Festivals

Pi Day is an annual celebration of the mathematical constant π (pi). Pi Day is observed on March 14 (3/14 in the month/day format) since 3, 1, and 4 are the first three significant digits of π. In 2009, the United States House of Representatives supported the designation of Pi Day. UNESCO's 40th General Conference decided Pi Day as the International Day of Mathematics in November 2019.

Pi Approximation Day is observed on July 22 (22/7 in the day/month format), since the fraction ​²²⁄₇ is a common approximation of π, which is accurate to two decimal places and dates from Archimedes.

Two Pi Day, also known as Tau Day for the mathematical constant Tau, is observed on June 28 (6/28 in the month/day format).

🔗 Computing 🔗 Economics 🔗 Systems 🔗 Systems/Cybernetics 🔗 Chile

Project Cybersyn was a Chilean project from 1971–1973 during the presidency of Salvador Allende aimed at constructing a distributed decision support system to aid in the management of the national economy. The project consisted of four modules: an economic simulator, custom software to check factory performance, an operations room, and a national network of telex machines that were linked to one mainframe computer.

Project Cybersyn was based on viable system model theory approach to organizational design, and featured innovative technology for its time: it included a network of telex machines (Cybernet) in state-run enterprises that would transmit and receive information with the government in Santiago. Information from the field would be fed into statistical modeling software (Cyberstride) that would monitor production indicators, such as raw material supplies or high rates of worker absenteeism, in "almost" real time, alerting the workers in the first case and, in abnormal situations, if those parameters fell outside acceptable ranges by a very large degree, also the central government. The information would also be input into economic simulation software (CHECO, for CHilean ECOnomic simulator) that the government could use to forecast the possible outcome of economic decisions. Finally, a sophisticated operations room (Opsroom) would provide a space where managers could see relevant economic data, formulate feasible responses to emergencies, and transmit advice and directives to enterprises and factories in alarm situations by using the telex network.

The principal architect of the system was British operations research scientist Stafford Beer, and the system embodied his notions of organisational cybernetics in industrial management. One of its main objectives was to devolve decision-making power within industrial enterprises to their workforce in order to develop self-regulation of factories.

🔗 Color

Impossible colors (forbidden, non-physical, unrealizable or chimerical colors) are supposed colors that do not appear in ordinary visual functioning. Non-physical colors are those notionally resulting from combinations of retinal outputs which cannot arise in normal vision. Chimerical colors are perceived, typically transiently, through contrast effects.

🔗 Mathematics 🔗 Statistics

Benford's law, also called the Newcomb–Benford law, the law of anomalous numbers, or the first-digit law, is an observation about the frequency distribution of leading digits in many real-life sets of numerical data. The law states that in many naturally occurring collections of numbers, the leading significant digit is likely to be small. For example, in sets that obey the law, the number 1 appears as the leading significant digit about 30% of the time, while 9 appears as the leading significant digit less than 5% of the time. If the digits were distributed uniformly, they would each occur about 11.1% of the time. Benford's law also makes predictions about the distribution of second digits, third digits, digit combinations, and so on.

The graph to the right shows Benford's law for base 10. There is a generalization of the law to numbers expressed in other bases (for example, base 16), and also a generalization from leading 1 digit to leading n digits.

It has been shown that this result applies to a wide variety of data sets, including electricity bills, street addresses, stock prices, house prices, population numbers, death rates, lengths of rivers, physical and mathematical constants. Like other general principles about natural data—for example the fact that many data sets are well approximated by a normal distribution—there are illustrative examples and explanations that cover many of the cases where Benford's law applies, though there are many other cases where Benford's law applies that resist a simple explanation. It tends to be most accurate when values are distributed across multiple orders of magnitude, especially if the process generating the numbers is described by a power law (which are common in nature).

It is named after physicist Frank Benford, who stated it in 1938 in a paper titled "The Law of Anomalous Numbers", although it had been previously stated by Simon Newcomb in 1881.

🔗 Mathematics 🔗 Economics 🔗 Politics 🔗 Urban studies and planning 🔗 Organizations 🔗 Game theory

Braess' paradox is the observation that adding one or more roads to a road network can slow down overall traffic flow through it. The paradox was postulated in 1968 by German mathematician Dietrich Braess, who noticed that adding a road to a particular congested road traffic network would increase overall journey time.

The paradox may have analogies in electrical power grids and biological systems. It has been suggested that in theory, the improvement of a malfunctioning network could be accomplished by removing certain parts of it. The paradox has been used to explain instances of improved traffic flow when existing major roads are closed.

🔗 United States 🔗 Crime 🔗 Television 🔗 Chicago 🔗 Illinois 🔗 United States/American television

A broadcast signal hijacking of two television stations in Chicago, Illinois was carried out on November 22, 1987, in an act of video piracy. The stations' broadcasts were interrupted by a video of an unknown person wearing a Max Headroom mask and costume, accompanied by distorted audio.

The first incident took place for 25 seconds during the sports segment of WGN-TV's 9:00 p.m. news broadcast; the second occurred around two hours later, for about 90 seconds during PBS affiliate WTTW's broadcast of Doctor Who.

The hacker made references to Max Headroom's endorsement of Coca-Cola, the TV series Clutch Cargo, WGN anchor Chuck Swirsky; and "all the greatest world newspaper nerds", a reference to WGN's call letters, which stand for "World's Greatest Newspaper". A corrugated panel swiveled back and forth mimicking Max Headroom's geometric background effect. The video ended with a pair of exposed buttocks being spanked with a flyswatter before normal programming resumed. The culprits were never caught or identified.

🔗 Computing 🔗 Microsoft Windows 🔗 Microsoft Windows/Computing 🔗 Software 🔗 Software/Computing

Bush hid the facts is a common name for a bug present in some versions of Microsoft Windows, which causes text encoded in ASCII to be interpreted as if it were UTF-16LE, resulting in garbled text. When the string "Bush hid the facts", without newline or quotes, was put in a new Notepad document and saved, closed, and reopened, the nonsensical sequence of Chinese characters "畂桳栠摩琠敨映捡獴" would appear instead.

While "Bush hid the facts" is the sentence most commonly presented on the Internet to induce the error, the bug can be triggered by many strings with letters and spaces in the same positions, for example "hhhh hhh hhh hhhhh". Other sequences trigger the bug as well, including even the text "a ".

The bug occurs when the string is passed to the Win32 charset detection function IsTextUnicode. IsTextUnicode sees that the bytes match the UTF-16LE encoding of valid (if nonsensical) Chinese Unicode characters, concludes that the text is valid UTF-16LE Chinese and returns true, and the application then incorrectly interprets the text as UTF-16LE.

The bug had existed since IsTextUnicode was introduced with Windows NT 3.5 in 1994, but was not discovered until early 2004. Many text editors and tools exhibit this behavior on Windows because they use IsTextUnicode to determine the encoding of text files. As of Windows Vista, Notepad has been modified to use a different detection algorithm that does not exhibit the bug, but IsTextUnicode remains unchanged in the operating system, so any other tools that use the function are still affected.